The Banach-Mazur theorem for spaces with asymmetric norm and its applications in convex analysis

DOI10.1023/A:1010271105852zbMath1014.46004OpenAlexW182747223MaRDI QIDQ5951050

P. A. Borodin

Publication date: 10 July 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1010271105852

zbMATH Keywords

convex analysisasymmetric normsign-sensitive weight

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (11)

Local compactness in right bounded asymmetric normed spaces ⋮ On the approximation of the global extremum of a semi-Lipschitz function ⋮ The uniform boundedness theorem in asymmetric normed spaces ⋮ Selection properties of uniform and related structures ⋮ Connectedness in asymmetric spaces ⋮ Universality theorems for asymmetric spaces ⋮ HAHN-BANACH TYPE THEOREMS ON FUNCTIONAL SEPARATION FOR CONVEX ORDERED NORMED CONES ⋮ Asymmetric norms and optimal distance points in linear spaces ⋮ A sublinear analog of the Banach-Mazur theorem in separated convex cones with norm ⋮ Compact convex sets in 2-dimensional asymmetric normed lattices ⋮ Convexity of Chebyshev sets contained in a subspace

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